English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In combinatorial topology we aim to triangulate manifolds such that theirtopological properties are reflected in the combinatorial structure of theirdescription. Here, we give a combinatorial criterion on when exactlytriangulations of 3-manifolds with transitive cyclic symmetry can begeneralised to an infinite family of such triangulations with similarly strongcombinatorial properties. In particular, we construct triangulations of Seifertfibred spaces with transitive cyclic symmetry where the symmetry preserves thefibres and acts non-trivially on the homology of the spaces. The triangulationsinclude the Brieskorn homology spheres $\Sigma (p,q,r)$, the lens spaces$\operatorname{L} (q,1)$ and, as a limit case, $(\mathbf{S}^2 \times\mathbf{S}^1)^{\# (p-1)(q-1)}$.

Combinatorial Seifert fibred spaces with transitive cyclic automorphism group